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Finding the Third Proportional to 42,984 and 92,688

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Solution

The third proportional to 42,984 and 92,688 is: 199,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,984 : 92,688 = 92,688 : x
  2. Step 2: Convert to fraction form
    42,984/92,688 = 92,688/x
  3. Step 3: Cross multiply
    42,984x = 92,688 × 92,688
  4. Step 4: Simplify right side
    42,984x = 8,591,065,344
  5. Step 5: Solve for x
    x = 8,591,065,344/42,984
  6. Step 6: Final answer
    x = 199,866.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.